AADA hexadecimal to binary

Here we will show you how to convert the hexadecimal number AADA to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert AADA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AADA by 16⁰, multiply the second to last digit in AADA by 16¹, multiply the third to last digit in AADA by 16², multiply the fourth to last digit in AADA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
D × 16¹ = 208
A × 16² = 2560
A × 16³ = 40960

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

10 + 208 + 2560 + 40960 = 43738

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

43738 ÷ 2 = 21869 with 0 remainder
21869 ÷ 2 = 10934 with 1 remainder
10934 ÷ 2 = 5467 with 0 remainder
5467 ÷ 2 = 2733 with 1 remainder
2733 ÷ 2 = 1366 with 1 remainder
1366 ÷ 2 = 683 with 0 remainder
683 ÷ 2 = 341 with 1 remainder
341 ÷ 2 = 170 with 1 remainder
170 ÷ 2 = 85 with 0 remainder
85 ÷ 2 = 42 with 1 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to AADA hexadecimal to binary:

AADA hexadecimal = 1010101011011010 binary

Hexadecimal to Binary Converter
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AADB hexadecimal to binary
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